Catching-Up and Falling Behind: Effects of Learning in an R&D Differential Game with Spillovers

41 Pages Posted: 10 Jan 2017

See all articles by Anton A. Bondarev

Anton A. Bondarev

WWZ Universit├Ąt Basel

Alfred Greiner

Bielefeld University - Department of Business Administration and Economics

Date Written: January 2017

Abstract

In this paper we analyze the dynamics of an R&D differential game allowing for technological spillovers and sigmoid learning functions of multiproduct oligopolies. We demonstrate how the presence of learning together with spillovers may generate a rich set of outcomes, varying from constant leadership to catching-up and falling behind as well as from technology lock-in to a situation with a large number of high quality products. These types of outcomes are qualitatively different both from the single firm dynamics with learning and from the duopoly case with spillovers and without learning.

Keywords: endogenous market structure; learning by doing; technological spillovers; heterogeneous innovations; differential games

JEL Classification: C61, C73, L13, L16, O32, O33

Suggested Citation

Bondarev, Anton A. and Greiner, Alfred, Catching-Up and Falling Behind: Effects of Learning in an R&D Differential Game with Spillovers (January 2017). Bielefeld Working Papers in Economics and Management No. 01-2017, Available at SSRN: https://ssrn.com/abstract=2896069 or http://dx.doi.org/10.2139/ssrn.2896069

Anton A. Bondarev

WWZ Universit├Ąt Basel ( email )

Basel, 4051
Switzerland

Alfred Greiner (Contact Author)

Bielefeld University - Department of Business Administration and Economics ( email )

P.O. Box 100131
Bielefeld, 33501
Germany
+49 521 106 4859 (Phone)
+49 521 106 67120 (Fax)

HOME PAGE: http://phoenix.wiwi.uni-bielefeld.de/lehrbereiche/vwl/wipol

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